QUANTUM FIELD THEORY ON CURVED BACKGROUNDS — A PRIMER
From MaRDI portal
Publication:2849263
DOI10.1142/S0217751X13300238zbMath1272.81128arXiv1306.0527MaRDI QIDQ2849263
Thomas-Paul Hack, Marco Benini, Claudio Dappiaggi
Publication date: 17 September 2013
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.0527
Quantum field theory on curved space or space-time backgrounds (81T20) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Axiomatic quantum field theory; operator algebras (81T05)
Related Items
A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications, KMS-like properties of local equilibrium states in quantum field theory, Quantum fields during black hole formation: how good an approximation is the Unruh state?, Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states, Constructing Hadamard states via an extended Møller operator, The Casimir effect from the point of view of algebraic quantum field theory, Algebraic quantum field theory on spacetimes with timelike boundary, A new class of fermionic projectors: Møller operators and mass oscillation properties, Linear hyperbolic PDEs with noncommutative time, Locally covariant chiral fermions and anomalies, Supersymmetric backgrounds in \((1 + 1)\) dimensions and inhomogeneous field theory, On the algebraic quantization of a massive scalar field in anti-de Sitter spacetime, A canonical complex structure and the bosonic signature operator for scalar fields in globally hyperbolic spacetimes, On the uniqueness of invariant states, Geometric phase for a two-level atom immersed in a thermal bath in the global monopole space–time, The algebra of Wick polynomials of a scalar field on a Riemannian manifold, Algebraic field theory operads and linear quantization, Quantized abelian principal connections on Lorentzian manifolds, Quantum field theory on curved spacetimes: Axiomatic framework and examples, Hadamard States From Null Infinity, Local Thermal Equilibrium States in Relativistic Quantum Field Theory, Optimal space of linear classical observables for Maxwell k-forms via spacelike and timelike compact de Rham cohomologies, Tunnelling processes for Hadamard states through a 2+1 dimensional black hole and Hawking radiation, The fermionic signature operator in De Sitter spacetime, Linear Yang-Mills theory as a homotopy AQFT, Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local causal structures, Hadamard states and the principle of local covariance in quantum field theory
- On the derivation of Hawking radiation associated with the formation of a black hole
- Perturbative algebraic quantum field theory and the renormalization groups
- On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario
- Approximate KMS states for scalar and spinor fields in Friedmann-Robertson-Walker spacetimes
- State independence for tunnelling processes through black hole horizons and Hawking radiation
- Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
- Quantization of Maxwell's equations on curved backgrounds and general local covariance
- Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime
- Cosmological horizons and reconstruction of quantum field theories
- Quantum charges and spacetime topology: the emergence of new superselection sectors
- On the Reeh-Schlieder property in curved spacetime
- Superselection sectors and general covariance. I
- Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
- Absolute quantum energy inequalities in curved spacetime
- Quantum out-states holographically induced by asymptotic flatness: invariance under spacetime symmetries, energy positivity and Hadamard property
- Local thermal equilibrium states and quantum energy inequalities
- Axiomatic quantum field theory in curved spacetime
- Equivalence of the (generalised) Hadamard and microlocal spectrum condition for (generalised) free fields in curved spacetime
- Uniqueness theorem for BMS-invariant states of scalar QFT on the null boundary of asymptotically flat spacetimes and bulk-boundary observable algebra correspondence
- The back reaction effect in particle creation in curved spacetime
- Quantum field theory on curved spacetimes. Concepts and mathematical foundations. Extended lecture notes of the compact course quantum field theory on curved spacetimes, Potsdam, Germany, October 2007
- Algebras of local observables on a manifold
- Time travel in Goedel's space
- Singularity structure of the two-point function in quantum field theory in curved spacetime. II
- Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
- A quantum weak energy inequality for Dirac fields in curved spacetime
- The generally covariant locality principle -- a new paradigm for local quantum field theory
- Microlocal analysis and interacting quantum field theories: renormalization on physical back\-grounds.
- Wavefront sets in algebraic quantum field theory.
- Local quasiequivalence and adiabatic vacuum states
- Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties.
- Existence of local covariant time ordered products of quantum fields in curved spacetime
- Comments on the stress-energy tensor operator in curved spacetime
- Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
- A local-to-global singularity theorem for quantum field theory on curved space-time (with an appendix by Rainer Verch)
- The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
- Batalin-Vilkovisky formalism in perturbative algebraic quantum field theory
- Dynamical locality and covariance: what makes a physical theory the same in all spacetimes?
- Dynamical locality of the free scalar field
- Linear bosonic and fermionic quantum gauge theories on curved spacetimes
- A no-go theorem for the consistent quantization of spin-\(3/2\) fields on general curved spacetimes
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- REMARKS ON THE REEH–SCHLIEDER PROPERTY FOR HIGHER SPIN FREE FIELDS ON CURVED SPACETIMES
- Classical and Quantum Fields on Lorentzian Manifolds
- CCR- versus CAR-Quantization on Curved Spacetimes
- Local Covariance, Renormalization Ambiguity, and Local Thermal Equilibrium in Cosmology
- On the stress–energy tensor of quantum fields in curved spacetimes—comparison of different regularization schemes and symmetry of the Hadamard/Seeley–DeWitt coefficients
- DYNAMICAL BACKREACTION IN ROBERTSON–WALKER SPACETIME
- Distinguished quantum states in a class of cosmological spacetimes and their Hadamard property
- On a recent construction of ‘vacuum-like’ quantum field states in curved spacetime
- Characteristic Classes and Homogeneous Spaces, I
- Quantization of the Maxwell field in curved spacetimes of arbitrary dimension
- THE EXTENDED ALGEBRA OF OBSERVABLES FOR DIRAC FIELDS AND THE TRACE ANOMALY OF THEIR STRESS-ENERGY TENSOR
- Microlocal Analysis
- Quantum Field Theory on Curved Backgrounds
- Quantum energy inequalities and local covariance. I. Globally hyperbolic spacetimes
- THE LOCALLY COVARIANT DIRAC FIELD
- RENORMALIZED QUANTUM YANG–MILLS FIELDS IN CURVED SPACETIME
- QUANTIZED ELECTROMAGNETIC FIELD ON A MANIFOLD
- Spinor fields in four dimensional space-time
- MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME
- Quantization of massive vector fields in curved space–time
- A quantum weak energy inequality for spin-one fields in curved space–time
- HADAMARD STATES FOR THE VECTOR POTENTIAL ON ASYMPTOTICALLY FLAT SPACETIMES
- Cosmological particle creation in states of low energy
- CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES
- States of low energy on Robertson–Walker spacetimes
- RIGOROUS STEPS TOWARDS HOLOGRAPHY IN ASYMPTOTICALLY FLAT SPACETIMES
- An Algebraic Approach to Quantum Field Theory
- Spinor Structure of Space-Times in General Relativity. I
- Quantized Fields and Particle Creation in Expanding Universes. I
- General Relativity
- The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes
- Passivity and microlocal spectrum condition
- A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework.
- Local Wick polynomials and time ordered products of quantum fields in curved spacetime
